Question

How do you solve 20ft 8in – 11ft 11in?

Answer 1

Hint: This question is from the topic of pre-algebra. For solving this question, we will first know how to convert feet into inches and inches into feet. After knowing that, we will first convert 20ft 8in into inches. After that, we will convert 11ft 11in into inches. After solving or adding them, we will get the answer in the terms of inches. We will convert them in feet and inches because in the question, the terms are given in feet and inches (that is ‘ft in’). The converted term will be our answer.

Complete step by step solution:
Let's solve this question.
In this question, we have asked to solve the term 20ft 8in – 11ft 11in.
For solving this question, first let us know about inches and feet.
The term foot (or feet) and inch is used to measure distance.
The plural form of foot is feet and the plural form of inch is inches.
The value of 1 foot is always equal to 12 inches.
And 1 inch is equal to \[\dfrac{1}{12}\] feet.
And 1 foot is equal to 30.48 centimetres.
So, we can write the term 20ft 8in as 20 feet and 8 inches which is also can be written as
20 feet + 8 inches
And we know that 1 feet is equal to 12 inches, so we can write
\[20\times 12\]inches + 8 inches
Which is also can be written as
240 inches + 8 inches = 248 inches
Similarly, we can write 11ft 11in as 11 feet + 11 inches
As we know that 1 feet is equal to 12 inches, so we can write the above term as
\[11\times 12\] inches + 11 inches = 132 inches + 11 inches = 143 inches
Now, we have to find 20ft 8in – 11ft 11in and we have found that 20ft 8in can also be written as 248 inches and 11ft 11in can also be written as 143 inches. So, we can
20ft 8in – 11ft 11in = 248 inches -143 inches = 105 inches.
Now, we will convert 105 inches into feet and inches.
As we can write 105 as \[8\times 12+9\], so we can say 105 inches will be equal to 8feet and 9 inches. That is we can write 20ft 8in – 11ft 11in = 8ft 9in

Note: We should have a better knowledge in pre-calculus. We should know how to convert inches to feet (or foot) and feet (or foot) to inches. Always remember that 1 foot is always equal to 12 inches.
If someone is getting confused that how 105 inches gets converted into 8 feet 9 inches, then he/she can take reference from the following:
For converting 105 inches into feet, we will divide 105 by 12, the quotient term will be in feet and the remainder term will be in inches.
\[12\overset{8}{\overline{\left){\begin{align}
  & 105 \\
 & 96 \\
 & \overline{09} \\
\end{align}}\right.}}\]
Hence, we can say that 105 inches can also be written as 8 feet and 9 inches.